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Finding the Fourth Proportional to 10,096.50, 15,144.89 and 3,171

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Solution

The fourth proportional to 10,096.50, 15,144.89 and 3,171 is: 4,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.50 : 15,144.89 = 3,171 : x
  2. Step 2: Convert to fraction form
    10,096.50/15,144.89 = 3,171/x
  3. Step 3: Cross multiply
    10,096.50x = 15,144.89 × 3,171
  4. Step 4: Simplify right side
    10,096.50x = 48,024,430.34
  5. Step 5: Solve for x
    x = 48,024,430.34/10,096.50
  6. Step 6: Final answer
    x = 4,756.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.